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The two lines represented by 3a x^2+5x y...

The two lines represented by `3a x^2+5x y+(a^2-2)y^2=0` are perpendicular to each other for (a)two values of `a` (b) a (c)for one value of `a` (d) for no values of `a`

A

two values of a

B

a

C

for one value of a

D

for no value of a

Text Solution

Verified by Experts

The correct Answer is:
1
`3a+a^(2)-2=0`
or `a^(2)+3a-2=0`
or `a=(-3+-sqrt(9+8))/(2)=(-3+-sqrt(17))/(2)`
Thererfore , there are two values of a .
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CENGAGE-PAIR OF STRAIGHT LINES-Exercise (Single)
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  11. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

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  12. If the equation of the pair of straight lines passing through the poin...

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  13. If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisect the a...

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  15. The image of the pair of lines represented by a x^2+2h x y+b y^2=0 by ...

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